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Finding the Third Proportional to 38,400.75 and 84,183

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Solution

The third proportional to 38,400.75 and 84,183 is: 184,547.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,400.75 : 84,183 = 84,183 : x
  2. Step 2: Convert to fraction form
    38,400.75/84,183 = 84,183/x
  3. Step 3: Cross multiply
    38,400.75x = 84,183 × 84,183
  4. Step 4: Simplify right side
    38,400.75x = 7,086,777,489
  5. Step 5: Solve for x
    x = 7,086,777,489/38,400.75
  6. Step 6: Final answer
    x = 184,547.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.